Selected methods for the classification of cuts, and their applications

2018/03/21 by Kuhlmann, Franz-Viktor · 2 citations
#12J15 #20F60 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 06F20 #Rings and Algebras (math.RA) #secondary 13J30

paper · doi:10.48550/arxiv.1803.07806

Abstract

We consider four approaches to the analysis of cuts in ordered abelian groups and ordered fields, their interconnection, and various applications. The notions we discuss are: ball cuts, invariance group, invariance valuation ring, and cut cofinality.

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• On certain definable coarsenings of valuation rings and their applications
• Absorbed Types and Derivations in Exponential o-Minimal Theories

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